Hard Ball Systems and Semi-Dispersive Billiards: Hyperbolicity and Ergodicity
作者： N. Simányi
DOI: 10.1007/978-3-662-04062-1_4
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摘要: The purpose of this survey article is two-fold: First, we intend to introduce the reader into world several types semi-dispersive billiards, such as Sinai’s hard sphere systems in tori or rectangular boxes, Lorentz-gas, stadia (including Bunimovich’s celebrated one), and Wojtkowski’s 1-D falling balls. second part deals with some crucial technical aspects proving full hyperbolicity (nonzero Lyapunov exponents almost everywhere) ergodicity for models statistical mechanics.
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